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Finding the Third Proportional to 236,486 and 339,967

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Solution

The third proportional to 236,486 and 339,967 is: 488,728.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,486 : 339,967 = 339,967 : x
  2. Step 2: Convert to fraction form
    236,486/339,967 = 339,967/x
  3. Step 3: Cross multiply
    236,486x = 339,967 × 339,967
  4. Step 4: Simplify right side
    236,486x = 115,577,561,089
  5. Step 5: Solve for x
    x = 115,577,561,089/236,486
  6. Step 6: Final answer
    x = 488,728.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.